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Webster 1913 Edition

Noun.

[F.

solvabilité

The quality or state of being solvable;

as, the

solvability

of a difficulty; the

solvability

of a problem

The condition of being solvent; ability to pay all just debts; solvency;

as, the

solvability

of a merchant

Noun.

Ability to pay all just debts.

solvability ‎(countable and uncountable, plural solvabilities)

Capability of being solved.
- 1972, Richard Y Kain, Automata Theory: Machines and Languages
  Many of the results listed in this table are the direct consequence of implications concerning the unsolvability or solvability of certain problems.
The condition of being solvent; ability to pay debts; solvency.
the solvability of a merchant